Example of rubric shared by John Marwick:
Year 4 Rubric: Four Operations
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Uses effective written methods to add and subtract whole numbers |
Uses effective mental methods to add and subtract whole numbers |
Uses effective written methods to multiply and divide whole numbers |
Uses effective mental methods to multiply and divide whole numbers |
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Developing (Phase 2) |
Addition: -to use materials to add two digit number with re-grouping/carrying showing their recording.
-describes written strategies for adding two digit numbers.
-to solve word problems using two digit addition.
-to use effective strategies to estimate.
Subtraction: -to use materials to subtract two digit number with re-grouping/borrowing showing their recording.
-describes written strategies for subtracting two digit numbers.
-to solve word problems using two digit subtraction.
-to use effective strategies to estimate. |
-recalls basic number facts to twenty quickly and accurately.
-most answers are correct to two-digit by one-digit addition and subtraction.
-uses counting on and counting back as strategies for addition and subtraction.
-applies knowledge of the ‘make ten’ strategy to solve basic problems.
-explain the strategy used. |
Multiplication: -demonstrates repeated addition
-recognizes and uses the symbol and the vocabulary.
-Can explain the relationship between addition and multiplication.
-explains the relationships between the table facts.
-recalls table facts for 2, 5 and 10s.
-knows the commutative rules of multiplication.
Division:
-explains the relationship between division and subtraction.
-explains the inverse relationship between multiplication and division.
-can recognize the symbol and vocabulary.
-divides two-digit numbers by one-digit numbers with no remainders.
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-recalls multiplication facts for 2, 5 and 10 times tables.
-recalls division facts for 2, 5 and 10 times tables.
Strategies
Solve five times tables by doubling and halving
Repeated addition.
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Uses effective written methods to add and subtract whole numbers |
Uses effective mental methods to add and subtract whole numbers |
Uses effective written methods to multiply and divide whole numbers |
Uses effective mental methods to multiply and divide whole numbers |
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Meets Expectations (Phase 3) |
Addition: - to use materials to add three digit number with re-grouping/carrying showing their recording.
-describe written strategies for adding three-digit numbers.
-to solve word problems.
-to use effective strategies to estimate.
Subtraction: -to use materials to subtract three digit number with re-grouping/borrowing showing their recording.
-describes written strategies for subtracting three-digit numbers.
-to solve word problems.
-to use effective strategies to estimate.
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-recalls basics facts to twenty quickly and accurately.
-applies basic fact knowledge to numbers to thousands.
-uses and knows special combinations of numbers. Eg. 15 + 15 =30, 25 +75=100, 100-35=65.
-uses arrange of strategies to add and subtract 2 digit by 2 digit numbers
-Chooses from a range of strategies Eg - Tidy numbers - Place value partitioning
-explain their strategies
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Multiplication: - Can explain the relationship between addition and multiplication.
-explains the relationships between the table facts.
-Memorizes, practices and recalls times tables to 10 x 10
-Multiples by 10 and 100 (place value)
-Use factors and multiples of numbers.
-Multiply 2, 3, and 4 digit numbers by 1 digit.
Division: -explains the relationship between division and subtraction.
-explains the inverse relationship between multiplication and division.
Divides 4 digit numbers with divisors of 10,100,1000. |
-Memorizes, practices, and recalls multiplication facts to 100.
Strategies Deriving from known facts Eg 6x7 is 6x6 + 7
- Memorizes, practices, and recalls division facts to 100.
-Multiplies 2 digit by 1 digit numbers (most answers correct) Strategies
Place Value Partitioning Eg 5x18 is 5 x10 +5x8
Doubling and Halving Eg 5x18 is 10x9
- Divides 4 digit numbers with divisors of 10,100,1000.
-explain strategies used. |
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Uses effective written methods to add and subtract whole numbers |
Uses effective mental methods to add and subtract whole numbers |
Uses effective written methods to multiply and divide whole numbers |
Uses effective mental methods to multiply and divide whole numbers |
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Exceeds Expectations (Phase 3+) |
Addition: - uses efficient written strategies to add large whole numbers
-describe written strategies for adding money.
-to solve word problems involving money.
-to use effective strategies to estimate using money.
Subtraction: - uses efficient written strategies to subtract large whole numbers
-describes written strategies for subtracting money.
-to solve word problems involving money.
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-applies basic fact knowledge to numbers to thousands.
-uses and knows special combinations of numbers. Eg. 15 + 15 =30, 25 +75=100, 100-35=65.
-uses arrange of strategies to add and subtract large numbers
-Chooses from a range of strategies Eg - Tidy numbers - Place value partitioning
-explain and adapt known strategies.
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Multiplication: - Can explain the relationship between addition and multiplication.
-explains the relationships between the table facts.
-Memorizes, practices and recalls times tables to 10 x 10
-Multiples by 10 and 100 (place value)
-Use factors and multiples of numbers.
-Multiply 2 digit by 2 digit numbers
-explain the use of 0 as a place holder when multiplying 2digits X 2digit.
Division: -explains the relationship between division and subtraction.
-explains the inverse relationship between multiplication and division.
Divides 4 digit numbers with divisors of 10,100,1000.
-divides three-digit by one-digit numbers with remainders.
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-Memorizes, practices, and recalls multiplication facts to 100. - Memorizes, practices, and recalls division facts to 100. -Multiplies 2 digit by 1 digit numbers accurately
Strategies Place Value Partitioning Eg 5x18 is 5 x10 +5x8
Doubling and Halving Eg 5x18 is 10x9
Deriving from Known Facts Eg 5x18 is 5x20 – (5x2) 5x8=40 then 5x16=80
- Divides 4 digit numbers with divisors of 10,100,1000.
-Divide two-digit by one digit with remainders.
Strategies Halving Eg 68÷2 is 60÷2 + 8÷2
-explain strategies used.
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